Psychological perception of color/brightness is irrelevant here. The light that emits fewer photons will simply have a shorter effective range.
For example, you have a 1650 lumen lamp and a 1440 lumen lamp, both shining on an object 10 meters away. By the Inverse Square law, the amount of light hitting the object is proportional to 1/10^2, (inverse of the square of the distance). For the sake of this example, we'll ignore the constant factor and call this 16.5 and 14.4 lumens, respectively. The light hitting the object then has to reflect back to your eye. So on the roundtrip it's reduced by another factor of 100: .165 and .144 lumens, respectively. At a particular distance, the amount of light returning to your eye will fall below the cutoff threshold of visual perception. This threshold distance will be farther with the brighter light, simply because there are more photons flying around that will hit targets and return to your eye than with the dimmer light.
In this example, assuming your eye had a minimum threshold of .15 lumens, then an object 10 meters away would be dimly visible with the 1650 lumen light, and totally invisible with the 1440 lumen light. Obviously these numbers bear no relation to reality, but the principle is clear.
OK, color temperature isn't totally irrelevant - the human eye is more sensitive to yellow light than blue. It takes more photons of bluer, higher color temperature light to produce a detectable signal in your optic nerve than it does of yellow. So a 1440 lumen bluish-white LED light will illuminate much much less than a 1650 lumen yellowish halogen light.